Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1500 miles per month. Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 22 recent mileages of Citrus cars was taken. The mean of these 22 mileages was 1453 miles per month, and the standard deviation was 236 miles per month. Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the0.1 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1500 miles per month? Perform a one-tailed test. Then fill in the table below. Carry your intermediate computations to at least three decimal places and round your answers as specified in the table. The null hypothesis: H0: The alternative hypothesis: H1: The type of test statistic: (Choose one)ZtChi squareF The value of the test statistic: (Round to at least three decimal places.) The p-value: (Round to at least three decimal places.) At the0.1 level of significance, can it be concluded that the mean recent monthly mileage of Citrus cars is less than 1500 miles per month? Yes N

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Citrus Rental is a popular car rental agency that has a history of having too few cars available, so that its available cars are overdriven. The mean monthly mileage over the years for Citrus cars has been about 1500 miles per month.

Recently, though, Citrus purchased thousands of new cars, and the company claims that the average mileage of its cars is now less than in the past. To test this, a random sample of 22 recent mileages of Citrus cars was taken. The mean of these 22 mileages was 1453 miles per month, and the standard deviation was 236 miles per month.

Assume that the population of recent monthly mileages of Citrus cars is normally distributed. At the0.1 level of significance, can it be concluded that the mean recent monthly mileage, μ, of Citrus cars is less than 1500 miles per month?

Perform a one-tailed test. Then fill in the table below.

Carry your intermediate computations to at least three decimal places and round your answers as specified in the table.

The null hypothesis:	H0:
The alternative hypothesis:	H1:
The type of test statistic:	(Choose one)ZtChi squareF

The value of the test statistic: (Round to at least three decimal places.)
The p-value: (Round to at least three decimal places.)
At the0.1 level of significance, can it be concluded that the mean recent monthly mileage of Citrus cars is less than 1500 miles per month?	Yes	No

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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